This paper seeks to develop the multicolor version of star-critical Ramsey numbers, which
serve as a measure of the strength of the corresponding Ramsey numbers. We offer several …

Star-critical Ramsey numbers were originally introduced by Jonelle Hook in her dissertation
[47] in 2010, working under the direction of her advisor, Garth Isaak. In their short existence …

Ramsey's theorem states that for any natural numbers n, m there exists a natural number N
such that any red–blue coloring of the graph KN contains either a red K n or blue K m as a …

In the Ramsey theory of graphs, star-critical Gallai-Ramsey numbers serve as a measure of
the strength of their corresponding Gallai-Ramsey numbers. In this paper, we evaluate some …

For graphs F, G and H, let F→(G, H) signify that any red-blue edge coloring of F contains
either a red G or a blue H, hence the Ramsey number R (G, H) is the smallest r such that K …

Star-Critical Ramsey Numbers Involving Various Graphs | SpringerLink Skip to main content
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Directions for Future Research and Summary of Known Values | SpringerLink Skip to main
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The star-critical Ramsey number r∗(G, H) is the smallest integer k such that every 2-coloring
of the edges of K rK 1, rk-1 contains either a red copy of G or a blue copy of H where r= R (G …